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Finding the Third Proportional to 200,265.75 and 309,986.63

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Solution

The third proportional to 200,265.75 and 309,986.63 is: 479,820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,265.75 : 309,986.63 = 309,986.63 : x
  2. Step 2: Convert to fraction form
    200,265.75/309,986.63 = 309,986.63/x
  3. Step 3: Cross multiply
    200,265.75x = 309,986.63 × 309,986.63
  4. Step 4: Simplify right side
    200,265.75x = 96,091,707,678.89
  5. Step 5: Solve for x
    x = 96,091,707,678.89/200,265.75
  6. Step 6: Final answer
    x = 479,820.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.